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Thread: theorem of L'Hospital 2

  1. June 22nd 2008, 11:32 AM #1
    Apprentice123
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    theorem of L'Hospital 2

    Using the theorem of L'Hospital, calculate:

    \lim_{n\to\infty} \frac{ln(1+\frac{1}{x})}{arccot(x)}



    answer:
    [html]1[/html]
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  2. June 22nd 2008, 11:47 AM #2
    topsquark
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    Quote Originally Posted by Apprentice123 View Post
    Using the theorem of L'Hospital, calculate:

    \lim_{n\to\infty} \frac{ln(1+\frac{1}{x})}{arccot(x)}



    answer:
    [html]1[/html]
    Hint:
    \frac{d}{dx}(cot^{-1}(x)) = -\frac{1}{x^2 + 1}

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